Optimization

Suppose that a company can sell 20,000 units when the price is $25, and 15,000 units when the price is $30. It costs $16 to make each unit, and an initial investment of $115,000 was made to start the company. Assume that the demand function is linear. Find the profit function P, and use marginal analysis to approximate the change in profit for a one-unit increase in sales when x=14,000

The main problem I am having with this is creating the equations themselves. The calculus shouldn't be too much of an issue.

Question

Optimization

Suppose that a company can sell 20,000 units when the price is $25, and 15,000 units when the price is $30. It costs $16 to make each unit, and an initial investment of $115,000 was made to start the company. Assume that the demand function is linear. Find the profit function P, and use marginal analysis to approximate the change in profit for a one-unit increase in sales when x=14,000

The main problem I am having with this is creating the equations themselves. The calculus shouldn't be too much of an issue.